| BETA : Trigonometry : Triangles 07 : Right Angle Triangles - Sin Cos And Tan : Beta Maths Homework Game
Description : Right angle triangles - sin cos and tan.
Discussion : For a right angled triangle the sin, cos and tan can be calculatd from the ratios of the sides. See figure Right Angle Triangle Dimensions And Angles
The game has 3 sets of questions with 3 questions per set.
sinb, B, a
cosb, B, b
tanb, B, c
The basic equations are :
sinb = b / c
B = asind(sinb)
a = c cosd(B)
rearranging
cosb = a / c
tanb = b / a
B = asind(sinb) = atand(tanb)
b = c sind(B)
c = a / cosd(B) = b / sind(B)
where
A B C = triangle internal angles (in degrees) - C = 90
a b c = triangle sides - c = hypotenuse
sinb = sind(B)
cosd = cosd(B)
tanb = tand(B)
Angles are in degrees. For convenience, use the degree trig functions sind(), cosd(), tand(), asind(), acosd() and atand().
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